Answer :
The degree of rotation that maps the pentagon onto itself would be a) 72°.
To map a regular pentagon onto itself, we need to find the angles of rotation that result in the same configuration.
A regular pentagon has an order of rotational symmetry of 5, meaning it maps onto itself after rotations of 360°/5 = 72°.
Therefore, any rotation of 72° (or multiples thereof) will map a regular pentagon onto itself. The other options are not correct:
60° is less than the full rotation required.
180° will flip the pentagon over but not map it exactly onto itself.
45° is not a multiple of the pentagon's interior angle measure.
Complete Question:
A regular pentagon is rotated about its centre. What degree of rotation maps the pentagon onto itself?
a) 72°
b) 60°
c) 180°
d) 45°
